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Fuzzy Systems and Soft Computing, 2015, Volume 10, Issue 1, Pages 7–22 (Mi fssc12)  
This article is cited in 62247 scientific papers (total in 62247 papers)

Fuzzy Sets

L. A. Zadeh

University of California, Berkeley, California
Full-text PDF (590 kB) Citations (62247)
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Abstract: A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Funding agency Grant number
National Science Foundation GP-2413
Joint Services Electronics Program (U.S. Army, U.S. Navy and U.S. Air Force) AF-AFOSR-139-64
English version:
Information and Control, 1965, Volume 8, Issue 3, Pages 338–353
DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Zadeh, “Fuzzy Sets”, Fuzzy Systems and Soft Computing, 10:1 (2015), 7–22; Information and Control, 8:3 (1965), 338–353
Citation in format AMSBIB
\Bibitem{Zad15}
\by L.~A.~Zadeh
\paper Fuzzy Sets
\jour Fuzzy Systems and Soft Computing
\yr 2015
\vol 10
\issue 1
\pages 7--22
\mathnet{http://mi.mathnet.ru/fssc12}
\elib{https://elibrary.ru/item.asp?id=23730488}
\transl
\jour Information and Control
\yr 1965
\vol 8
\issue 3
\pages 338--353
\crossref{https://doi.org/10.1016/S0019-9958(65)90241-X}
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    • This publication is cited in the following 62247 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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